In differential geometry, the Margulis lemma (named after Grigory Margulis) is a result about discrete subgroups of isometries of a non-positively curved...

Evgeny Margulis (born 1955), Russian musician Grigory Margulis (born 1946), Russian mathematician, known for the Margulis lemma Lynn Margulis (1938–2011)...

Abhyankar's lemma Fundamental lemma (Langlands program) Five lemma Horseshoe lemma Nine lemma Short five lemma Snake lemma Splitting lemma Yoneda lemma Matrix...

Geodesic deviation equation Jacobi field Riemannian symmetric space Margulis lemma Space form Constant curvature taut submanifold Uniformization theorem...

manifolds. Hyperbolic 3-manifold Hyperbolic space Hyperbolization theorem Margulis lemma Normally hyperbolic invariant manifold Kapovich, Michael (2009) [2001]...

The proof works by replaying the proofs of the Bieberbach theorem and Margulis lemma. Gromov's proof was given a careful exposition by Peter Buser and Hermann...

stability and the noise sensitivity, as before. The Russo–Margulis formula (also called the Margulis–Russo formula) states that for monotone Boolean functions...

proven in the 1960s by David Kazhdan and Grigory Margulis. The formal statement of the Kazhdan–Margulis theorem is as follows. Let G {\displaystyle G} be...

great use in the fields of combinatorics and geometric group theory. Margulis lemma Ballmann, Werner (1995). Lectures on spaces of nonpositive curvature...

the geometry is entirely determined by the parabolic element. The Margulis lemma is a qualitative generalisation to more general spaces of negative curvature...

on λi for i ≠ 1 is useful many contexts, including the expander mixing lemma. Spectral expansion can be two-sided, as above, with max i ≠ 1 | λ i | ≤...

travel to the congress in Nice to receive his medal. In 1978, Grigory Margulis, because of restrictions placed on him by the Soviet government, was unable...

Representation theory, Category theory, Kazhdan-Lusztig conjecture, Kazhdan-Margulis theorem, Kazhdan property (T). Held MacArthur Fellowship, Israel Prize...

coupling inequality, of the blowing-up lemma, published in 1986. This result, which arose out of work of Grigory Margulis in 1974 and which was developed further...

groups and more generally lattices in Lie groups (for example through Margulis' superrigidity theorem and other rigidity results). Hall (2015) Rossmann...

relevant to these results. Lubotzky, Phillips and Sarnak and independently Margulis showed how to construct an infinite family of ( p + 1 ) {\displaystyle...

results of Borel, Harish-Chandra, Mostow, Tamagawa, M. S. Raghunathan, Margulis, Zimmer obtained from the 1950s through the 1970s provided examples and...

conjecture on the dimension of an attractor in terms of its Lyapunov exponents Margulis conjecture – measure classification for diagonalizable actions in higher-rank...

List of disproved mathematical ideas List of unsolved problems List of lemmas List of theorems List of statements undecidable in ZFC Weisstein, Eric W...

Manin-Mumford conjecture and Manin obstruction in diophantine geometry Grigory Margulis, worked on lattices in Lie groups, Wolf Prize and Fields Medal winner Andrey...

Manin-Mumford conjecture and Manin obstruction in diophantine geometry Grigory Margulis, worked on lattices in Lie groups, Wolf Prize and Fields Medal winner Andrey...

in God?" Venter replied, "No. The universe is far more wonderful." Lynn Margulis; Dorion Sagan (2000). What Is Life?. University of California Press. p...

Alex Eskin Hillel Furstenberg Anatole Katok Elon Lindenstrauss Gregory Margulis Shahar Mozes Hee Oh Kannan Soundararajan Masaki Tsukamaoto Benjamin Weiss...